求y=(x+sinx平方)的立方,的求导
问题描述:
求y=(x+sinx平方)的立方,的求导
答
y=(x+sinx^2)^3
y'=3(x+sinx^2)^2(x+sinx^2)'
=3(x+sinx^2)^2[x'+cosx^2(x^2)']
=3(x+sinx^2)^2(1+2xcosx^2)